so if we spend all our capspace, do we still have our tpe after that or not ?

No. To even have any cap space, even a dollar of cap space, the TPE must be renounced.

Even if a team had no cap holds except for a 10 million dollar TPE, and had 30 million in cap space, they could not use any cap space unless they renounced the TPE. A TPE and cap space cannot exist at the same time.

So if we use cap space to sign free agents, by definition we would have renounced the TPE.